Question

let f(x) = x^2 + 3x - 4 What is the average rate of change for the quadtruc function form z= -3 to x =8?

Answer 1

8

Explanation:

The average rate of change is measured as

`(f(b)-f(a))/(b-a)` in the closed interval [ a, b ]

here [a, b ] = [ - 3, 8 ]

f(b) = f(8) = 8² + 3(8) - 4 = 64 + 24 - 4 = 84

f(a) = f(- 3) = (- 3)² + 3(- 3) - 4 = 9 - 9 - 4 = - 4

average rate of change =
`(84-(-4))/(8-(-3))` =
`(88)/(11)` = 8